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Finding the Fourth Proportional to 37,144.80, 55,717.32 and 9,442.80

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Solution

The fourth proportional to 37,144.80, 55,717.32 and 9,442.80 is: 14,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,144.80 : 55,717.32 = 9,442.80 : x
  2. Step 2: Convert to fraction form
    37,144.80/55,717.32 = 9,442.80/x
  3. Step 3: Cross multiply
    37,144.80x = 55,717.32 × 9,442.80
  4. Step 4: Simplify right side
    37,144.80x = 526,127,509.30
  5. Step 5: Solve for x
    x = 526,127,509.30/37,144.80
  6. Step 6: Final answer
    x = 14,164.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.